Skip to main content
Retagged.
Link
Andrey Rekalo
  • 22.3k
  • 12
  • 89
  • 122
Source Link
Marc
  • 225
  • 2
  • 7

Invertibility of the Laplacian

Consider the Laplacian as an operator $\Delta\colon W^{2,p}(\Omega)\subset L^p(\Omega)\to L^p(\Omega)$ subject to homogeneous Robin boundary conditions, where $\Omega\subset \mathbf R^n$ is either bounded with smooth boundary or a halfspace and $1< p< \infty$. Is there any reference giving information about the invertibility of $\Delta$ in these spaces?